Solve 14/17-15/12

$$\frac { 14 } { 17 } - \frac { 15 } { 12 }$$

Evaluate

$$-\frac{29}{68}\approx -0.426470588$$

Solution Steps

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{14}{17}-\frac{5}{4}$$

Least common multiple of 17 and 4 is 68. Convert \frac{14}{17} and \frac{5}{4} to fractions with denominator 68.

$$\frac{56}{68}-\frac{85}{68}$$

Since \frac{56}{68} and \frac{85}{68} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-85}{68}$$

Subtract 85 from 56 to get -29.

$$-\frac{29}{68}$$

Factor

$$-\frac{29}{68} = -0.4264705882352941$$